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12115553112 = 233213127101921
BaseRepresentation
bin10110100100010010…
…01010101101011000
31011021100112212102100
423102021022231120
5144303040144422
65322114203400
7606143334165
oct132211125530
934240485370
1012115553112
115157a06413
122421583560
1311b1092650
1482d0db06c
154ad9987ac
hex2d224ab58

12115553112 has 96 divisors (see below), whose sum is σ = 35615623680. Its totient is φ = 3698472960.

The previous prime is 12115553069. The next prime is 12115553123. The reversal of 12115553112 is 21135551121.

It is a happy number.

12115553112 is a `hidden beast` number, since 1 + 2 + 115 + 5 + 531 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67912 + ... + 169832.

It is an arithmetic number, because the mean of its divisors is an integer number (370996080).

Almost surely, 212115553112 is an apocalyptic number.

12115553112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12115553112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807811840).

12115553112 is an abundant number, since it is smaller than the sum of its proper divisors (23500070568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12115553112 is a wasteful number, since it uses less digits than its factorization.

12115553112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102073 (or 102066 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

The spelling of 12115553112 in words is "twelve billion, one hundred fifteen million, five hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 381 468 508 762 936 1016 1143 1524 1651 2286 3048 3302 4572 4953 6604 9144 9906 13208 14859 19812 29718 39624 59436 101921 118872 203842 305763 407684 611526 815368 917289 1223052 1324973 1834578 2446104 2649946 3669156 3974919 5299892 7338312 7949838 10599784 11924757 12943967 15899676 23849514 25887934 31799352 38831901 47699028 51775868 77663802 95398056 103551736 116495703 155327604 168271571 232991406 310655208 336543142 465982812 504814713 673086284 931965624 1009629426 1346172568 1514444139 2019258852 3028888278 4038517704 6057776556 12115553112